GCF of 9758/806, 9124/5439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9758/806, 9124/5439 i.e 2/4383834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9758/806, 9124/5439.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9758/806,9124/5439?
Given fractions are 9758/806,9124/5439
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9758/806,9124/5439, numerators are 9758,9124
Denominators are 806,5439
The GCF of 9758,9124 is 2 .
LCM of 806,5439 is 4383834.
The greatest common factor of 9758/806,9124/5439 = [GCF of 9758,9124]/[LCM of 806,5439]= 2/4383834
Therefore, the GCF of 9758/806,9124/5439 is 2/4383834.
To find the highest common factor of 9758,9124, we have to find the factors of both numbers and list the highest common factor.
The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
The factors of 9124 are 1, 2, 4, 2281, 4562, 9124
The HCF of 9758,9124 is 2.
Lets's calculate GCF of 9758,9124
| 2 | 9758, 9124 |
| 4879, 4562 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9758,9124 By Matching Biggest Common Factor Method
Now, list down the factors of 9758
:1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Now, list down the factors of 9124
:1,2,4,2281,4562,9124
Greatest Common Factor
We found the factors 9758,9124 . The biggest common factor number is the GCF number.
So the greatest common factor 9758,9124 is 2.
Lets's calculate LCM of 806,5439
Given numbers has no common factors except 1. So, there LCM is their product i.e 4383834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4383834
Therefore, the GCF of Fractions 9758/806,9124/5439 is 2/4383834
Least Common Multiple of 806,5439 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 806,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,5439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,5439) x common factors =1 x 1 = 1
LCM(806,5439) = ( 806 × 5439 ) / 1
LCM(806,5439) = 4383834 / 1
LCM(806,5439) = 4383834
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FAQs on GCF of Fractions of 9758/806, 9124/5439
1. What is the HCF of 9758,9124?
The HCF of 9758,9124 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9758/806, 9124/5439?
Answer: GCF of Numerators as per given numbers 9758/806, 9124/5439 is
GCF of Numerators i.e. for 9758,9124 is 2
LCM of denominators i.e. for 806,5439 is 4383834.
Thus, GCF of Fractions is 2/4383834.Finally, GCF of Fractions for 9758/806, 9124/5439 is 2/4383834.